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COMPLEX ANALYSIS - QUESTION REGARDING INFINITE BLASCHKE PRODUCT ...
Yes, this is shown in Chapter 15 of Rudin's Real and complex analysis, starting on page 310 under the subheading "Blaschke products". The Blaschke condition applies to the zero sets of …
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EXAMPLE OF INFINITE FIELD OF CHARACTERISTIC $P\\NEQ 0$
Can you give me an example of infinite field of characteristic p ≠ 0 p ≠ 0? Thanks.
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UNDERSTANDING THE DETERMINANT OF AN INFINITE MATRIX
Feb 9, 2020 (A A is the infinite matrix with diagonal elements equal to 1 1 and 0 0 's everywhere else). If A A were finite-dimensional then mutlipyling the diagonal elements, the determinant …
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WHAT IS THE DIFFERENCE BETWEEN "INFINITE" AND "TRANSFINITE"?
Jun 6, 2020 The reason being, especially in the non-standard analysis case, that "infinite number" is sort of awkward and can make people think about ∞ ∞ or infinite cardinals …
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SUBSPACES OF AN INFINITE DIMENSIONAL VECTOR SPACE
If V V is an infinite dimensional vector spaces, then it has an infinite basis. Any proper subset of that basis spans a proper subspace whose dimension is the cardinality of the subset. So, …
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IS THERE A CASE "INFINITE" P-GROUP IS MEANINGFUL?
An infinite dimensional vector space over a field with p p elements is probably the simplest example. But there are some really wacky groups called "Tarski Monsters" that provide …
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I HAVE LEARNED THAT 1/0 IS INFINITY, WHY ISN'T IT MINUS INFINITY?
An infinite number? Kind of, because I can keep going around infinitely. However, I never actually give away that sweet. This is why people say that 1 / 0 "tends to" infinity - we can't really use …
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ELEMENTARY SET THEORY - WHAT DO FINITE, INFINITE, COUNTABLE, NOT ...
A set A A is infinite, if it is not finite. The term countable is somewhat ambiguous. (1) I would say that countable and countably infinite are the same. That is, a set A A is countable (countably …
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CALCULUS - INFINITE GEOMETRIC SERIES FORMULA DERIVATION
Infinite Geometric Series Formula Derivation Ask Question Asked 12 years, 2 months ago Modified 4 years, 5 months ago
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WHAT IS INFINITY DIVIDED BY INFINITY? - MATHEMATICS STACK EXCHANGE
Aug 11, 2012 I know that $\\infty/\\infty$ is not generally defined. However, if we have 2 equal infinities divided by each other, would it be 1? if we have an infinity divided by another half-as …
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